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Finding the Third Proportional to 9,982,416 and 20,437,008

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Solution

The third proportional to 9,982,416 and 20,437,008 is: 41,840,702.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982,416 : 20,437,008 = 20,437,008 : x
  2. Step 2: Convert to fraction form
    9,982,416/20,437,008 = 20,437,008/x
  3. Step 3: Cross multiply
    9,982,416x = 20,437,008 × 20,437,008
  4. Step 4: Simplify right side
    9,982,416x = 417,671,295,992,064
  5. Step 5: Solve for x
    x = 417,671,295,992,064/9,982,416
  6. Step 6: Final answer
    x = 41,840,702.29

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.